Question

In ΔVWX, \text{m}\angle V = (4x+3)^{\circ}m∠V=(4x+3) ∘ , \text{m}\angle W = (x+7)^{\circ}m∠W=(x+7) ∘ , and \text{m}\angle X = (5x+0)^{\circ}m∠X=(5x+0) ∘ . What is the value of x?X?

Answer 1

The value of x is 17

Explanation:

The sum of the angles in a triangles is 180°

From the question:

In ΔVWX,

m∠V=(4x+3) ∘

m∠W=(x+7) ∘

m∠X=(5x+0) ∘ .

Hence:

m∠V + m∠W + m∠V = 180°

4x + 3 + x + 7 + 5x + 0 = 180°

Collect like terms

4x + x + 5x + 3 + 7 + 0 = 180°

10x + 10 = 180°

Subtract 10 from both sides

10x + 10 - 10 = 180° - 10

10x = 170

Divide both sides by 10

10x/10 = 170/10

x = 17

The value of x is 17